A comparison of vectorized methods for solving the two-dimensional diffusion equation: Multigrid versus polynomial preconditioned conjugate gradient (Q750111)
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scientific article; zbMATH DE number 4174276
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A comparison of vectorized methods for solving the two-dimensional diffusion equation: Multigrid versus polynomial preconditioned conjugate gradient |
scientific article; zbMATH DE number 4174276 |
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A comparison of vectorized methods for solving the two-dimensional diffusion equation: Multigrid versus polynomial preconditioned conjugate gradient (English)
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1990
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This paper compares a multigrid mthod with several preconditioned conjugate gradient methods for some sample boundary-value problems for the diffusion equation \(-(au_ x)_ x-(bu_ y)_ y=f\) on the unit square. The sample problems involve sources and sinks, as well as anisotropy of the flow. The schemes are implemented on a CYBER 205 computer. The authors conclude that the multigrid method is much more efficient, particularly on large problems.
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vectorized methods
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multigrid mthod
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preconditioned conjugate gradient methods
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diffusion equation
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